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The Final Thing Mystery Cache

Hidden : 11/28/2010
Difficulty:
5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The Final Thing

**Not at Listed Coordinates**


So, I’ve had grand plans of figuring out a way to simply trilaterate a place between three points knowing only the distances from those points.  Also having become savvy with calculating distances between points using arc-lengths to account for the curvature of the earth, I though “Hey, I can do this…”  After a few hours of cranking out numbers, I realized that I was into a much bigger problem than originally expected and asked a few co-workers for some help.  Let’s qualify; they are both Ph.D. Post-Grads – one a physicist and one an aeronautical engineer.  They do this kind of thing for fun and when I first explained my problem, the physicist simply said he wouldn’t touch it with a ten- foot pole.   He called it “Spherical Geometry” and said that most people still can’t do it.  Now, the aeronautical engineer was not so easily turned away and has spent the better part of the last 8 weeks of free time popping out “big equations.”  Needless to say, he hasn’t gotten even close.

So today, I pose a much-simplified situation of the problem, which occurs in the days of Gilgamesh (you know, when the Earth was still flat).  From a certain three locations, a fourth can be found.  That’s where you’ll find the cache.

You don’t have to find the “Thing Series” but it might help to look at the cache pages.

A little help – To be placed here if it takes you puzzle solvers too long…

Additional Hints (Decrypt)

Ubcr lbhe zngu vf ERNYYL tbbq.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)